Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal to the gradient of the line segment joining the points on the graph where x = 1 and x = 5.

Q: Determine the equation of the line that is perpendicular to the tangent line at the curve y = 5x2 –…

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Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: Find the slope of y = ex at x = 0.

A: Given query is to find the slope.

Q: | If ƒ (x) = 10x ² − 37x + 11, then there are two real numbers a<b such that f(a)=f(b)=4, and the

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Q: What is the equation of the tangent to the curve y = x2 − 5x +4 at the point where x=1 ?

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Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: f the line tangent to the graph of y =x* – 2x + 1 at x =-1

A: Idea: find the slope of tangent line by differentiation at x=-1 .then find the point on the curve.…

Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

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Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the point (a, b) on the graph of y = x² where the tangent line to the curve has a slope of -21.…

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Q: Find the equation of the tangent line to the curve y = (1+2x)² at the point (3, 49).

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